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Finding the Third Proportional to 656.88 and 990.13

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Solution

The third proportional to 656.88 and 990.13 is: 1,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.88 : 990.13 = 990.13 : x
  2. Step 2: Convert to fraction form
    656.88/990.13 = 990.13/x
  3. Step 3: Cross multiply
    656.88x = 990.13 × 990.13
  4. Step 4: Simplify right side
    656.88x = 980,347.52
  5. Step 5: Solve for x
    x = 980,347.52/656.88
  6. Step 6: Final answer
    x = 1,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.